A wheel rolling at a constant speed has a radius of 15 inches and takes 30 seconds to roll 100 feet along the ground. What is its angular velocity? Use 3.14 for pie, and solve to two decimal places.

Answer 1

I rotation is 2(15)π = 30π
So, number of rotations in 100 feet = 100/(30π)

so angular velocity = 100/(30π) rotations / 30 second
= 100/(900π) *2π radians/second
= 2/9 radians/second

using 2 decimals, 2/9 = appr .22

Answer 2

The answer I got is 152.87 degrees/second.

Answer 3

1 Rotation= 2(15)pi = 30pi this is the circumference in inches.

100ft=1200in

1200/30pi=12.74 amount of rotations it takes to finish the distance

12.74*2pi= 25.48pi this is the angle

now w=25.48pi/30, 30 being the amount of seconds it takes to complete 1200in

change it to degrees, degrees=radians*180/pi

d=25.48pi/30*180/pi
d=4586pi/30pi
d=152.88
152.88 degrees/second

Answer 4

152.87

Answer 5

I got 152.87